Last Updated: 1/15/2010
Computational
Fluid Dynamics & Heat Transfer I
(link to Collab site for enrolled students only)
Spring 2010
Course Number: MAE/APMA 6720
Schedule Numbers: MAE: 10701, APMA:
10145
Instructor: R.J. Ribando
Time: TTh 9:30 10:45
The first session of this class
will be Thursday, January 21, 2010 at 9:30 am.
Location: MEC 214
MAE/APMA 6720 is intended as an introduction to the field
of Computational Fluid Dynamics (CFD) and Heat Transfer. We will cover mostly
finitedifference/finitevolume methods for solving the partialdifferential
equations of fluid mechanics and heat transfer and will consider stability,
convergence, accuracy and efficiency of solution methods. Students will gain
familiarity with numerical methods, computer programming and graphics and will
also acquire increased experience in fluid mechanics and heat transfer through
computer "experimentation." Those students who use or are considering
using commercial CFD packages will learn what goes on inside them, the assumptions
and inherent limitations, how boundary conditions are applied, and how output
may be displayed, interpreted and verified.
Those
wishing to purchase a good reference book in CFD for their professional library
are directed to: Computational Fluid Dynamics and Heat Transfer, 2nd.
Ed., by John C. Tannehill, Dale A. Anderson and Richard H. Pletcher,
With
the wide disparity in backgrounds of students who sign up for this course, it
is difficult to come up with projects which are equally challenging to
everyone. Therefore, nearly every project will consist of a standard part,
which all students are expected to complete, and extra options. If you do well
on the standard part, your maximum grade on that assignment will be 9.0 out of
10.0. In order to merit a perfect 10.0 or better, you will have to implement
one or more of the options. These optional exercises will usually come with
less explicit instructions, and you should clearly indicate which ones you have
included.
Students
may discuss the general theory behind the programs among themselves, however
the implementation (other than help with minor programming problems) is to be
completed by the individual student. Each assignment is to include a pledge to
that effect. Any substantial help from others is to be acknowledged in writing.
There will be a 5% penalty per day for lateness.
Weekbyweek Topics
This is
for general reference only. Consult the
Collab schedule for daybyday topics, handouts, assignments and due dates.
Week of: 
Topic(s) 
Notes 
Jan. 21 
Introduction/Computers/Graphics, etc., Governing Eqns. 

Jan. 26 
Superposition, RungeKutta, Boundary Layer Problem 

Feb. 2 
Classification, Discretization, Truncation Error 

Feb. 9 
Misc./Mixed Partials, Superposition, Vortex
Motion 

Feb. 16 
Panel Method 

Feb. 23 
Elliptic Eqns.  Pointwise
Iterative Methods 

March. 2 
Elliptic Eqns.  Multigrid, Conj. Grad., Direct Methods 

March 9 
Spring Break 

March 16 
Odd Geom., Mappings, Elliptic
Grid Generation, Hyperbolic ( Wave )
Eqns. 

March 23 
Parabolic
Equations and Stability 

March 30 
Method of Char., Conservation, Explicit
& Implicit 

April 6 
Stokes Flow, More Stability 

April 13 


April 20 
Final Project (2D Porous Media
Convection) 

April 27 
Final Project (2D Porous Media Convection) 

April 4 
Wrapup 
